Index

$\cdot$ : Notations

$\times$ : Notations

$!$ : Notations

$\vert$ : Notations

$\vert\ldots\rangle$ : Notations

$\langle\ldots\vert$ : Notations

$\uparrow$ : Notations

$\downarrow$ : Notations

$\prod$ : 2.3 | Notations | Notations

$\int$ : Notations

$\to$ : Notations

$\vec{\phantom{a}}$ : Notations

$\widehat{\phantom{a}}$ : Notations

$'$ : Notations

$\nabla$ : Notations

$\mathop{\Box}\nolimits$ : Notations

$^*$ : Notations

$\raisebox{.3pt}{$<$}$ : Notations

$\raisebox{-.3pt}{$\leqslant$}$ : Notations

$\langle\ldots\rangle$ : Notations

$\raisebox{.3pt}{$>$}$ : Notations

$\raisebox{-.5pt}{$\geqslant$}$ : Notations

$[\ldots]$ : Notations

$\vphantom0\raisebox{1.5pt}{$=$}$ : Notations

$\vphantom0\raisebox{1.5pt}{$\equiv$}$ : Notations

$\vphantom0\raisebox{1.1pt}{$\approx$}$ : Notations

$\vphantom0\raisebox{1.5pt}{$\sim$}$ : Notations

$\propto$ : Notations

$\alpha$ : Notations

$\beta$ : Notations

$\Gamma$ : Notations

$\gamma$ : Notations

$\Delta$ : Notations

$\delta$ : Notations

$\partial$ : Notations

$\epsilon$ : Notations

$\epsilon_0$ : Notations

$\varepsilon$ : Notations

$\eta$ : Notations

$\Theta$ : Notations

$\theta$ : Notations

$\vartheta$ : Notations

$\kappa$ : Notations

$\Lambda$ : Notations

$\lambda$ : Notations

$\mu$ : Notations

$\nu$ : Notations

$\xi$ : Notations

${\mit\Pi}$ : Notations

$\pi$ : Notations

$\tilde\pi$ : Notations

$\rho$ : Notations

$\sigma$ : Notations

$\tau$ : Notations

$\Phi$ : Notations

$\phi$ : Notations

$\varphi$ : Notations

$\chi$ : Notations

$\Psi$ : Notations

$\psi$ : Notations

$\Omega$ : Notations

$\omega$ : Notations

21 cm line

derivation : A.38.5

intro : A.38.1

$A$ : Notations

Å : Notations

$a$ : Notations

$a_0$ : Notations

absolute temperature : 6.5 | Notations

absolute value : 2.1 | Notations

absolute zero

nonzero energy : 4.1.3

requires ground state : 11.1

absorbed dose : 14.6.2

absorption and emission

incoherent radiation : 7.8

absorptivity : 6.8

acceleration

in quantum mechanics : 7.2.1

acceptors

semiconductors : 6.23

actinides : 5.9.7

actinoids : 5.9.7

action : A.1.3

relativistic : 1.3.2

activation energy

nuclear fission : 14.14.1

radicals : 5.2.6

active view : A.19.1

activity : 14.6.2

specific : see decay rate

adiabatic

disambiguation : Notations

quantum mechanics : 7.1.5

thermodynamics : 11.10

adiabatic surfaces : 9.2.3

adiabatic theorem

derivation : D.34

derivation and implications : A.16

intro : 7.1.5

adjoint : Notations

matrices : Notations

Aharonov-Bohm effect : 13.1

Airy functions

application : A.27

connection formulae : A.29

graphs : A.29

software : A.27

alkali metals : 5.9.7

alkaline metals : 5.9.7

allowed transition

intro : 7.4.3

allowed transitions

beta decay : 14.19.4.1

alpha : see $\alpha$

alpha decay : 14.4

data : 14.11.1

definition : 14.4

Gamow/Gurney and Condon theory : 14.11.1

overview of data : 14.4

$Q$-value : 14.19.3

quantum mechanical tunneling : 14.11

alpha particle : 14.11

ammonia molecule : 5.3

amplitude : Notations

quantum : 3.1

angle : Notations

angular frequency : 7.10.4

angular momentum : 4.2

addition : 12.7

Clebsch-Gordan coefficients : 12.7

advanced treatment : 12.

combination

intro : 7.4.2

component : 4.2.2

eigenfunctions : 4.2.2

eigenvalues : 4.2.2

conservation in decays : 7.4.2

definition : 4.2.1

fundamental commutation relations

as an axiom : 12.2

intro : 4.5.4

ladder operators : 12.3

ladders : 12.3

normalization factors : 12.5

nuclei

data : 14.15

operator

Cartesian : 4.2.1

possible values : 12.4

spin : 5.4

square angular momentum : 4.2.3

eigenfunctions : 4.2.3

eigenvalues : 4.2.3

symmetry and conservation : 7.3

uncertainty : 4.2.4

anions : 6.21.6

anomalous magnetic moment : 13.4

nucleons

pion explanation : 14.3

anti-bonding : 10.4

antibonding state

intro : 5.3

anticommutator : A.15.2

antilinear operator : A.19.2

antiparticles

move backward in time : A.14

antisymmetrization requirement : 5.6

graphical depiction : 11.2

indistinguishable particles : 11.2

number of terms : 5.7

using groupings : 5.7

using occupation numbers : A.15.1

using Slater determinants : 5.7

antiunitary operator : A.19.2

astronomy

spectral analysis : 6.27.1

asymptotic freedom

quarks : 7.5.2

atomic mass

conversion to nuclear mass : 14.7

versus nuclear mass : 14.19.3

atomic mass unit : 14.7

atomic matrix element : 7.7.2

atomic number : 5.9 | 14.4

atoms

eigenfunctions : 5.9.2

eigenvalues : 5.9.2

ground state : 5.9.3

Hamiltonian : 5.9.1

Auger effect

Meisner : N.35

Auger electrons : 14.20.7

Avalanche diode : 6.26

average

versus expectation value : 4.4.1

Avogadro's number : Notations

axial vector : A.20

azimuthal quantum number : 4.2.3

$B$ : Notations

${\cal B}$ : Notations

$b$ : Notations

Balmer transitions : 4.3.3

band gap

and Bragg reflection : N.9

intro : 6.21.1

band structure

crossing bands : 10.4

detailed germanium structure : 6.22.5

nearly-free electrons : 10.6

widely spaced atoms : 10.3.2

band theory

electrons per primitive cell : 6.21.2

intro : 6.21

barn : 14.17.1.2

baryon : 5.4

baryons : 7.5.2

basis : Notations

crystal

intro : 6.22.5

diamond : 10.4

lithium (BCC) : 10.3.1

NaCl (FCC) : 10.2

spin states : 5.5.6

vectors or functions : 2.6

zinc blende (ZnS) : 6.22.5

battery : 6.16

BCC

lithium : 10.3.1

becquerel : 14.6.2

Bell's theorem : 8.2

cheat : 8.2

benzene molecular ring : 5.3

Berry's phase : A.16

beryllium-11

nuclear spin : 14.12.6

Bessel functions

spherical : A.6.2

beta : see $\beta$

beta decay : 14.19

beta-plus decay

definition : 14.4

double

explanation : 14.19.2

electron capture : 14.4

electron emission : 14.4

energetics

data : 14.19.1

energy release data : 14.19.1

Fermi theory : A.44

forbidden decays : 14.19.4

intro : 14.4

inverse beta decay : 14.4

K or L capture : 14.4

lone neutron : 14.2.2

momentum conservation : A.44.6

nuclei that do : 14.4

overview of data : 14.4

positron emission : 14.4

$Q$-value : 14.19.3

superallowed decays : 14.19.5

von Weizsaecker predictions : 14.19.2

beta vibration

nuclei : 14.13.4.4

Bethe-von Weizsäcker formula : 14.10.2

Big Bang : A.19.6

binding energy

definition : 4.6.6

hydrogen molecular ion : 4.6.6

hydrogen molecule : 5.2.6

lithium hydride : 5.3

Biot-Savart law : 13.3.5

derivation : D.73.8

blackbody radiation : 11.14.5

intro : 6.8

blackbody spectrum : 6.8

extended derivation : 11.14.5

Bloch function

nearly-free electrons : 10.6

one-dimensional lattice : 10.3.5

three-dimensional lattice : 10.3.10

Bloch wave

explanation : 7.10.5

intro : 6.22.1

Bloch's theorem : 10.3.5

body-centered cubic : see BCC

Bohm

EPR experiment : 8.2

Bohr energies : 4.3.3

relativistic corrections : A.38

Bohr magneton : 13.4

Bohr radius : 4.3.4

Boltzmann constant : Notations

Boltzmann factor : 11.5

bond

covalent : 5.11.1

hydrogen : 5.11.3

ionic : 5.11.5

pi : 5.11.2

polar : 5.11.3

sigma : 5.11.1

Van der Waals : 10.1

bond length

definition : 4.6.6

hydrogen molecular ion : 4.6.7

hydrogen molecule : 5.2.6

Born

approximation : A.30.3

Born series : A.31

Born statistical interpretation : 3.1

Born-Oppenheimer approximation

and adiabatic theorem : 7.1.5

basic idea : 9.2.2

derivation : 9.2

diagonal correction : D.51

hydrogen molecular ion : 4.6.1

hydrogen molecule : 5.2.1

include nuclear motion : 9.2.3

spin degeneracy : D.50

vibronic coupling terms : D.51

Borromean nucleus : 14.12.6

Bose-Einstein condensation

derivation : 11.14.1

intro : 6.6

rough explanation : 6.6.1

superfluidity : N.21

Bose-Einstein distribution

blackbody radiation : 11.14.5

intro : 6.8

canonical probability : 11.5

for given energy : 11.4

identify chemical potential : 11.13

intro : 6.7

bosons : 5.4

ground state : 6.4

symmetrization requirement : 5.6

bound states

hydrogen

energies : 4.3.3

boundary conditions

acceptable singularity : N.5

hydrogen atom : D.15

across delta function potential : A.27

at infinity

harmonic oscillator : D.12

hydrogen atom : D.15

impenetrable wall : 3.5.4

radiation : A.27

accelerating potential : A.27

three-dimensional : A.30

unbounded potential : A.27

Bq : 14.6.2

bra : 2.3 | Notations

Bragg diffraction

electrons : 10.7.2

Bragg planes

Brillouin fragment boundaries : 10.3.10

energy singularities : 10.6.2

one-dimensional (Bragg points) : 10.3.7

X-ray diffraction : 10.7.2

Bragg reflection

and band gaps : N.9

Bragg’s law : 10.7.2

Breit-Wigner distribution : 7.6.1

Brillouin zone

first

FCC crystal : 6.22.5

intro : 6.22.4

one-dimensional : 10.3.7

three-dimensional : 10.3.10

broadband radiation

intro : 6.27.2

built-in potential : 6.24

$C$ : Notations

$\POW9,{\circ}$C : Notations

$c$ : Notations

canonical commutation relation : 4.5.3

canonical Hartree-Fock equations : 9.3.4

canonical momentum

canonical quantization : A.15.6

intro : A.12

special relativity : 1.3.2

with a magnetic field : 13.1

canonical probability distribution : 11.5

canonical quantization : A.15.6

canonical momentum : A.15.6

carbon nanotubes

electrical properties

intro : 6.21.4

intro : 5.11.4

Carnot cycle : 11.9

Cartesian tensors : A.4

Casimir force : A.23.4

cat, Schrödinger’s : 8.1

cations : 6.21.6

Cauchy-Schwartz inequality : Notations

causality

relativity : 1.2.2

special relativity : 1.2.3

causality problem : A.15.9

centrifugal stretching : 14.13.4.2

chain reaction : 14.14.1

charge

electrostatics : 13.3.1

charge annihilation operator : 14.18.1

charge conjugation

intro : 7.3

Wu experiment : 14.19.6

charge creation operator : 14.18.1

charge independence

nuclear force : 14.1

charge states : 14.18.1

charge symmetry

example : 14.12.3

nuclear force : 14.1

charge transfer insulators : 6.21.2

chemical bonds : 5.11

covalent pi bonds : 5.11.2

covalent sigma bonds : 5.11.1

hybridization : 5.11.4

ionic bonds : 5.11.5

polar covalent bonds : 5.11.3

promotion : 5.11.4

sp$\POW9,{n}$ hybridization : 5.11.4

chemical equilibrium

constant pressure : 11.12

constant volume : 11.12

chemical potential : 11.12

and diffusion : 6.16

intro : 6.14

and distributions : 11.13

line up

Peltier cooler : 6.28.1

microscopic : 11.13

chi : see $\chi$

Ci : 14.6.2

circular polarization

from second quantization : A.23.4

intro : 7.4.3

photon wave function : A.21.6

classical : Notations

Clausius-Clapeyron equation : 11.12

Clebsch-Gordan coefficients : 12.7

and Wigner 3j symbols : N.13

computing using recursion : D.66

explicit expression : D.66

coefficient of performance : 11.9

coefficients of eigenfunctions

evaluating : 4.1.6

give probabilities : 3.4.2

time variation : 7.1.2

collapse of the wave function : 3.4.1

collision-dominated regime : 7.5.3

collisionless regime : 7.5.3

collisions

dual nature : 7.5.3

color force : 14.1

intro : 7.5.2

commutation relation

canonical : 4.5.3

commutator : 4.5

definition : 4.5.2

commutator eigenvalue problems : 12.3

commuting operators : 4.5.1

common eigenfunctions : 4.5.1

comparative half-life : 14.19.4.3

complete set : 2.6

completeness relation : 2.7.1

complex conjugate : 2.1

complex numbers : 2.1

component waves : 7.10.2

components of a vector : 2.2

conduction band

intro : 6.21.1

conductivity

effect of light : 6.27.5

electrical : 6.20

ionic : 6.21.6

configuration mixing : 14.12.5

confinement : 6.12

quarks : 7.5.2

single particle : 3.5.9

conjugate momentum : see canonical momentum

conjugate nuclei : 14.18.2

connection formulae : A.29 | A.29

conservation laws

and symmetries : 7.3

conserved vector current hypothesis : A.44.4

contact potential : 6.16

continuity equation

incompressible flow : A.42.2

contravariant : 1.2.5

conventional cell : 10.3.10

conversion electron : 14.20.7

Copenhagen Interpretation : 3.4.1

correlation energy : 9.3.5.4

cos : Notations

Coulomb barrier : 14.11.1

Coulomb condition

unconventional derivation : A.22.8

Coulomb gage

instead of Lorenz gage : A.22.8

Coulomb gauge : A.21.2

classical electromagnetics : A.36

Coulomb integrals : 9.3.3

Coulomb potential : 4.3.1

Fermi derivation : A.22.8

Koulomb potential

field theory derivation : A.22

Coulomb potential energy

derivation : D.37.4

coupling constant : A.44.2

covalent bond

hydrogen molecular ion : 4.6

covalent solids : 10.4

covariant : 1.2.5

creationists : N.25

cross product : Notations

crystal

basis

diamond : 10.4

NaCl (FCC) : 10.2

ionic conductivity : 6.21.6

lattice : see lattice

lithium (BCC) : 10.3.1

one-dimensional

primitive translation vector : 10.3.5

transparency : 6.27.3

typical semiconductors : 6.22.5

crystal momentum : 6.22.4

conservation : 6.22.4

definition : 7.10.5

light-emitting diodes : 6.27.7

crystals

translation operator : 7.10.5

curie : 14.6.2

curl : Notations | Notations

cylindrical coordinates : Notations

$D$ : Notations

$\vec{D}$ : Notations

${\cal D}$ : Notations

D : Notations

$d$ : Notations

$\vec{d}$ : Notations

${\rm d}$ : Notations

D’Alembertian : A.14 | Notations

Dalton : 14.7

Darwin term : A.38.2

d block

periodic table : 5.9.7

de Broglie relation : 6.18

derivation : A.14

Debye model : 11.14.6

Debye temperature : 11.14.6 | 11.15

decay constant : see decay rate | 14.6.2

decay rate : 14.6.2

not a probability : 7.5.3

physical mechanism : 7.5.3

specific : 7.5.3

deformed nuclei : 14.13.3

degeneracy : 4.1.5

degeneracy pressure : 6.11

degenerate semiconductor : 6.23

delayed neutrons : 14.14.1

Delta : see $\Delta$

delta function : 7.9.1

three-dimensional : 7.9.1

Delta particles

intro : A.41.4

delta : see $\delta$

density

mass : 11.7

molar : 11.7

particle : 11.7

density of modes : 6.3

density of states : 6.3

confined : 6.12

periodic box : 6.19

depletion layer : 6.24

derivative : Notations

determinant : Notations

deuterium : 14.2.3

deuteron

intro : 14.2.3

OPEP potential : A.41.2

diamagnetic contribution : 13.4

diamond

band gap : 10.4

crystal structure : 6.22.5

intro : 5.11.4

differential cross-section : A.30

dimensional analysis : A.11.2

dineutron

isospin : 14.18.1

not bound : 14.2.3

OPEP potential : A.41.2

diode

semiconductor : 6.24

diode laser : 6.27.7

dipole

classical electromagnetics : 13.3.2

dipole moment

electric

nuclei : 14.17

magnetic

classical : 13.4

nuclei : 14.17

dipole strength

molecules : 10.1

dipole transition : 14.20.2

electric

intro : 7.4.3

magnetic

intro : 7.4.3

dipole transitions

magnetic

Hamiltonian : D.39

diproton

isospin : 14.18.1

not bound : 14.2.3

OPEP potential : A.41.2

Dirac delta function : 7.9.1

three-dimensional : A.22.1

Dirac equation : 12.12

as a system : A.43

conserves parity : A.43

hydrogen atom

low speed approximation : D.82

nonrelativistic limit

no linear algebra : A.43

ultrarelativistic : A.43

Dirac gamma matrices : A.35

Dirac notation : 2.7.1

direct gap semiconductor : 6.22.4

discrete spectrum

versus broadband

intro : 6.27.2

disintegration constant : see decay rate | 14.6.2

disintegration rate : 14.6.2

dispersion relation : 7.10.4

distinguishable particles

intro : 6.6 | 6.6.1

div : Notations

div(ergence) : Notations

divergence theorem : Notations | Notations

donors

semiconductors : 6.23

doping

semiconductors : 6.23

Doppler shift

of light in vacuum : 1.1.4

dose equivalent : 14.6.2

dot product : 2.3

double layer of charges

contact surfaces : 6.16

doublet states : 5.5.6

dpm : 14.6.2

dynamic phase : A.16

$E$ : Notations

${\cal E}$ : Notations

$e$ : Notations

e : Notations

effective dose : 14.6.2

effective mass

from equation of motion : 7.10.5

one-dimensional example : 6.22.3

Ehrenfest theorem : 7.2.1

$e^{{{\rm i}}ax}$ : Notations

eigenfunction : 2.5

eigenfunctions

angular momentum component : 4.2.2

atoms : 5.9.2

harmonic oscillator : 4.1.4

hydrogen atom : 4.3.4

impenetrable spherical shell : D.78

linear momentum : 7.9.2

position : 7.9.1

square angular momentum : 4.2.3

eigenvalue : 2.5

eigenvalue problems

commutator type : 12.3

ladder operators : 12.3

eigenvalues

angular momentum component : 4.2.2

atoms : 5.9.2

harmonic oscillator : 4.1.3

hydrogen atom : 4.3.3

impenetrable spherical shell : D.78

linear momentum : 7.9.2

position : 7.9.1

square angular momentum : 4.2.3

eigenvector : 2.5 | Notations

Einstein

dice : 3.4.2

summation convention : 1.2.5

swiped special relativity : 1.1.1

Einstein A and B coefficients : 7.8

Einstein's derivation : D.42

Einstein A coefficients

quantum derivation : A.24

Einstein B coefficients

quantum derivation : D.41

Einstein Podolski Rosen : 8.2

Einstein summation convention

moral justification : A.22.4

electric charge

electron and proton : 4.3.1

electric dipole approximation

origin of the name : 7.7.2

electric dipole operator

intro : 7.7.2

electric dipole transition

intro : 7.4.3

selection rules : 7.4.4

relativistic : 7.4.4

electric moment

nuclei : 14.17

electric multipole

photon states : A.21.7

electric potential

classical derivation : 13.2 | D.73.1

quantum derivation : 13.1

relativistic derivation : 1.3.2

electrical conduction

intro : 6.20

electrochemical potential

definition : 6.13

electromagnetic field

Hamiltonian : 13.1

Maxwell's equations : 13.2

quantization : A.23

electromagnetic potentials

gauge transformation : 1.3.2

electromagnetics

“derivation” from scratch : A.22

electron

in magnetic field : 13.4

electron affinity : 10.2

Hartree-Fock : 9.3.5.1

electron capture

definition : 14.4

electron emission : 14.4

electron split experiment : 3.1

electronegativity : 5.9.4 | 10.2

electrons

lack of intelligence : 6.11 | 6.25

emission rate

spontaneous : see decay rate

emissivity : 6.8

energy conservation : 7.1.3

energy spectrum

harmonic oscillator : 4.1.3

hydrogen atom : 4.3.3

energy-time uncertainty equality

derivation : 7.2.2

vindicated : 7.6.1

energy-time uncertainty relation : 7.2.2

decay of a state : 7.6.1

Mandelshtam-Tamm version : A.18

enthalpy : 11.7

enthalpy of vaporization : 11.12

entropy : 11.10

descriptive : 11.8

EPR : 8.2

epsilon : see $\epsilon$,$\varepsilon$

equipartition theorem : 11.15

equivalent dose : 14.6.2

eta : see $\eta$

Euler formula : 2.1

eV : Notations

even-even nuclei : 14.4

Everett, III : 8.6

every possible combination : 5.1 | 5.5.1

exchange force mechanism

and two-state systems : 7.5.2

nuclear forces : A.41

exchange integrals : 9.3.3

exchange operator : 5.2.6

exchange terms

twilight terms : 5.3

exchanged

Las Vegas interpretation : 6.1

excited determinants : 9.3.5.4

exciton

intro : 6.27.3

exclusion principle : 5.7

exclusion-principle repulsion : 5.10

expectation value : 4.4

definition : 4.4.2

simplified expression : 4.4.3

versus average : 4.4.1

experimental evidence : A.44.4

exponential function : Notations

exponential of an operator : A.12

exposure : 14.6.2

extended zone scheme : 10.5.2

intro : 6.22.4

extensive variable : 11.7

extreme independent particle model : 14.12.4

extreme single-particle model : 14.12.4

$F$ : Notations

${\cal F}$ : Notations

$f$ : Notations

face centered cubic : see FCC

factorial : Notations

Faraday cage

proposal for nuclei : 14.20.6

fast ion conductors : 6.21.6

f block

periodic table : 5.9.7

F-center

intro : 6.27.4

fermi : 14.10.1

Fermi brim

definition : 6.13

Fermi decay : 14.19.4.1

Fermi energy

definition : 6.13

electrons in a box : 6.10

Fermi factor : 6.13

definition : 6.13

Fermi function

intro : A.44.2

value : A.44.6

Fermi integral

intro : 14.19.4.3 | 14.19.4.3

value : A.44.6

Fermi level

definition : 6.13

line up

Peltier cooler : 6.28.1

Fermi surface

electrons in a box : 6.10

periodic boundary conditions : 6.18

periodic zone scheme : 10.5.2

reduced zone scheme : 10.5.2

Fermi temperature : 11.14.2

Fermi theory

comparison with data : 14.19.5

Fermi theory of beta decay : A.44

Fermi’s golden rule : 7.6.1 | A.44.5

Fermi-Dirac distribution

canonical probability : 11.5

for given energy : 11.4

identify chemical potential : 11.13

intro : 6.13

Fermi-Kurie plot : 14.19.5

fermions : 5.4

antisymmetrization requirement : 5.6

ground state : 6.9

intrinsic parity : A.43

Feynman diagrams : A.31

Feynman slash notation : A.35

field emission : 6.15

field operators : A.15.9

field strength tensor : A.22.7

filled shells : 12.9

filtering property : 7.9.1

fine structure : A.38.1

hydrogen atom : A.38

fine structure constant : A.38.1

in decay rates : A.25.6

first Brillouin zone

intro : 6.22.4

first law of thermodynamics : 11.1 | 11.7

first-forbidden decays

beta decay : 14.19.4.2

fission

energetics : 14.8

spontaneous

definition : 14.4

overview of data : 14.4

flopping frequency : 13.6.4

Floquet theory : 10.3.5

fluorine-19

nuclear spin : 14.12.6

flux : A.11.4

Fock operator : 9.3.4

Fock space kets

beta decay : A.44.1

Fock state : A.15.1

forbidden decays

beta decay : 14.19.4

forbidden transition

intro : 7.4.3

forbidden transitions

alpha decay : 14.11.3

force

in quantum mechanics : 7.2.1

four-vectors : 1.2.4

Fourier analysis : 10.3.6

Fourier coefficients : D.8

Fourier integral : D.8

Fourier series : D.8

one-dimensional : A.26

three-dimensional : A.26

Fourier transform : 7.10.4 | D.8

one-dimensional : A.26

three-dimensional : A.26

Fourier’s law

heat conduction : A.11.4

Fraunhofer lines : 6.27.1

free path : 6.20

free-electron gas

intro : 6.9

model for crystal structure : 10.5

periodic box

intro : 6.17

specific heat : D.63

Frenkel defect : 6.21.6

$ft$-value : 14.19.4.3

function : 2.2 | 2.2 | Notations

functional : A.2 | Notations

fundamental commutation relations

as an axiom : 12.2

orbital angular momentum : 4.5.4

spin

introduction : 5.5.3

fundamental solution

Poisson equation : A.22.1

fusion

energetics : 14.8 | 14.8

$G$ : Notations

$g$ : Notations

gage property : A.22.4

Galilean transformation : 1.2.1

gallium arsenide

crystal structure : 6.22.5

Galvani potential : 6.16

Gamma : see $\Gamma$

gamma decay

definition : 14.4

gamma function : Notations

gamma matrices

Dirac equation : A.35

gamma rays

intro : 14.20

gamma vibration

nuclei : 14.13.4.4

gamma : see $\gamma$

Gamow theory : 14.11.1

Gamow-Teller decay : 14.19.4.1

gauge theories

basic ideas : A.19.5

gauge transformation

electromagnetic potentials : 1.3.2

Gauss' theorem : Notations

generalized coordinates : A.1.2

intro : A.12

generalized momentum : see canonical momentum

generator of rotations : A.19.1

geometric phase : A.16

germanium

crystal structure : 6.22.5

detailed band structure : 6.22.5

$g$-factor : 13.4

Gibbs free energy : 11.12

microscopic : 11.13

glueballs : 7.5.2

gluons : 7.5.2

grad : Notations

grad(ient) : Notations

gradient : Notations

grain : 10.3.1

grain boundaries : 10.3.1

graphene

electrical properties

intro : 6.21.4

graphite

electrical properties

intro : 6.21.4

intro : 5.11.4

gravitons : 7.5.2

gray : 14.6.2

Green's function

Laplacian : 13.3.4

Poisson equation : A.22.1

ground state

absolute zero temperature : 6.5

atoms : 5.9.3

bosons : 6.4

fermions : 6.9

harmonic oscillator : 4.1.4

hydrogen atom : 4.3.3 | 4.3.4

hydrogen molecular ion : 4.6.7

hydrogen molecule : 5.2.6 | 5.5.5 | 5.6

nonzero energy : 4.1.3

group

intro : 1.2.6

group property

coordinate system rotations : D.70

Lorentz transformation : 1.2.6

group theory : 7.3

group velocity : 7.10.4

intro : 7.10.3

Gupta-Bleuler condition : A.22.6

gyromagnetic ratio : 13.4

$H$ : Notations

$h$ : Notations

$\hbar$ : Notations

half-life : 7.5.3 | 14.6.1

halo nucleus : 14.12.6

halogens : 5.9.7

Hamiltonian : 3.3

atoms : 5.9.1

classical : A.1.4

electromagnetic field : 13.1

gives time variation : 7.1.1

harmonic oscillator : 4.1.1

partial : 4.1.2

hydrogen atom : 4.3.1

hydrogen molecular ion : 4.6.1

hydrogen molecule : 5.2.1

in matrix form : 5.8

numbering of eigenfunctions : 3.3

one-dimensional free space : 7.10.1

relativistic, nonquantum : 1.3.2

Hamiltonian dynamics

relation to Heisenberg picture : A.12

Hamiltonian perturbation coefficients : A.37.1

Hankel functions

spherical : A.6.2

harmonic functions : D.14.3

harmonic oscillator : 4.1

classical frequency : 4.1

eigenfunctions : 4.1.4

eigenvalues : 4.1.3

energy spectrum : 4.1.3

ground state : 4.1.4

Hamiltonian : 4.1.1

partial Hamiltonian : 4.1.2

particle motion : 7.11.4

harmonic polynomials : 4.2.3

Hartree product : 5.7 | 9.3.1

intro : 6.1

Hartree-Fock : 9.3

Coulomb integrals : 9.3.3

exchange integrals : 9.3.3

restricted

closed shell : 9.3.1

open shell : 9.3.1

unrestricted : 9.3.1

heat : 6.5 | 11.7

heat capacity

valence electrons : 6.13

heat conduction

electrons : 6.21.5

heat flux density

including Peltier effect : A.11.4

omit density : A.11.4

heavy water : 14.4

Heisenberg

uncertainty principle : 3.2

uncertainty relationship : 4.5.3

helicity

definition : A.43

photon : A.21.6

helion : 14.4

helium

Bose-Einstein condensation : 6.6

helium ionization energy : A.37.2

Hellmann-Feynman theorem : A.37.1

Helmholtz decomposition : A.22.8

Helmholtz equation : D.31

Green's function solution : D.31

Helmholtz free energy : 11.12

microscopic : 11.13

Hermitian conjugate : 2.7.1

Hermitian conjugates

creation and annihilation operators : A.15.2

Hermitian matrices : Notations

Hermitian operators : 2.6

hexacontatetrapole transition : 14.20.2

hexadecapole transition : 14.20.2

hidden variables : 3.4.2 | 8.2

hidden versus nonexisting : 4.2.4

hieroglyph : 10.7.1 | A.38.4

hole

nuclear shell model : 14.12.3

holes

in shells : 12.9

light, heavy, split-off : 7.10.5

semiconductors

holes per state : 6.23

holes per unit volume : 6.23

intro : 6.21.3

Hund's rules : 10.7.1

hybridization : 5.11.4

hydrogen

metallic : 6.21.2

nonmetal : 6.21.2

hydrogen atom : 4.3

eigenfunctions : 4.3.4

eigenvalues : 4.3.3

energy spectrum : 4.3.3

ground state : 4.3.3 | 4.3.4

Hamiltonian : 4.3.1

relativistic corrections : A.38

hydrogen bonds : 5.11.3 | 10.1

hydrogen molecular ion : 4.6

bond length : 4.6.7

experimental binding energy : 4.6.7

ground state : 4.6.7

Hamiltonian : 4.6.1

shared states : 4.6.4

hydrogen molecule : 5.2

binding energy : 5.2.6

bond length : 5.2.6

ground state : 5.2.6 | 5.5.5 | 5.6

Hamiltonian : 5.2.1

hyperfine splitting : A.38

hypersphere : Notations

$I$ : Notations

$\Im$ : Notations

${\cal I}$ : Notations

$i$ : 2.2 | Notations

${\hat\imath}$ : Notations

${\rm i}$ : 2.1 | Notations

reciprocal : 2.1

ideal gas

quantum derivation : 11.14.4

thermodynamic properties : 11.12

ideal gas law : 11.14.4

ideal magnetic dipole : 13.3.2

ideality factor : 6.24

identical particles : 5.6

identity operator : 2.7.1

iff : 2.3 | Notations

imaginary part : 2.1

impact parameter : A.30

impurities

ionic conductivity : 6.21.6

optical effects : 6.27.4

incoherent radiation

absorption and emission : 7.8

incompressibility

intro : 6.11

independent particle model : 14.12.4

index notation : Notations

intro : 1.2.5

indirect gap semiconductor : 6.22.4

indistinguishable

definition : A.15.1

indistinguishable particles : 11.2

(anti) symmetrization requirement : 11.2

intro : 6.6 | 6.6.1

inner product

multiple variables : 2.7.2

inner product of functions : 2.3

inner product of vectors : 2.3

insulated system : 11.10

insulators

examples : 6.21.2

integer : Notations

integral Schrödinger equation : A.13

intelligent designers : N.25

intensive variable : 11.7

intermediate vector bosons : 7.5.2

internal conversion : 14.20.7

definition : 14.4

intro : 14.20

internal conversion coefficient : 14.20.7

internal energy : 11.7

internal pair production

intro : 14.20

internal transition

definition : 14.4

interpretation

interpretations : 3.4.1

many worlds : 8.6

orthodox : 3.4

relative state : 8.5

statistical : 3.4

interstitials

ionic conductivity : 6.21.6

interval

special relativity : see space-time interval

intrinsic semiconductor : 6.23

intrinsic state

nuclei : 14.13.4.1

inverse : Notations

inverse beta decay

definition : 14.4

inversion

parity operator : 7.3

ionic bonds : 5.11.5

ionic conductivity : 6.21.6

ionic molecules : 10.2

ionic solids : 10.2

ionization : 4.3.3

ionization energy : 10.2

Hartree-Fock : 9.3.5.1

helium : A.37.2

hydrogen atom : 4.3.3

irrotational : Notations

gradient of a scalar : Notations

vector potential : A.22.8

irrotational flow : A.42.2

islands of isomerism : 14.20.3

iso : Notations

isobar

nuclei : 14.4

isobaric analog states : 14.18.1

isobaric multiplets : 14.18.1

isobaric spin : 14.18

isolated : Notations

isolated system : 11.10

isomer : 14.20.3

isomeric transition

definition : 14.4

isospin : 14.18

beta decay : A.44.1

isothermal atmosphere : 6.14

isotones : 14.4

isotope : 14.4

isotopic spin : 14.18

i-spin : 14.18

$J$ : Notations

$j$ : Notations

${\hat\jmath}$ : Notations

$K$ : Notations

${\mathscr K}$ : Notations

K : Notations

$k$ : Notations

${\hat k}$ : Notations

$k_{\rm B}$ : Notations

kappa : see $\kappa$

K-capture

definition : 14.4

Kelvin coefficient : 6.28.3

Kelvin heat : 6.28.3

Kelvin relationships

thermoelectrics : A.11.6

intro : 6.28.3

ket : 2.3 | Notations

ket notation

spherical harmonics : 4.2.3

spin states : 5.4

kinetic energy

nuclear decay : 14.19.3

operator : 3.3

kinetic energy operator

in spherical coordinates : 4.3.1

Klein-Gordon equation : 12.12 | A.14

kmol : Notations

Koopman's theorem : 9.3.5.1

Kramers relation : D.84

$L$ : Notations

${\cal L}$ : Notations

L : Notations

$l$ : Notations

$\ell$ : Notations

$\pounds$ : Notations

ladder operators

angular momentum : 12.3

Lagrangian

for classical fields : A.22.2

relativistic : 1.3.2

simplest case : A.1.1

Lagrangian density : A.1.5

example : A.22.2

Lagrangian dynamics

for classical fields : A.22.2

Lagrangian mechanics : A.1

Lagrangian multipliers

derivations : D.48

for variational statements : 9.1.3

Lamb shift : A.38 | A.38.4

Lambda : see $\Lambda$

lambda : see $\lambda$

Landé $g$-factor : A.38.3

lanthanides : 5.9.7

lanthanoids : 5.9.7

Laplace equation : D.73.2

solution in spherical coordinates : A.42.2

solutions in spherical coordinates : D.14.3

Laplacian : Notations

Larmor frequency

definition : 13.6.2

Larmor precession : 13.6.3

laser

operating principle : 7.7

laser diode : 6.27.7

latent heat of vaporization : 11.12

lattice

diamond : 10.4

FCC : 10.2

primitive vectors : 6.22.5

intro : 10.2

lithium (BCC) : 10.3.1

NaCl : 10.2

one-dimensional : 10.3.2

primitive translation vector : 10.3.5

primitive translation vectors

diamond : 10.4

reciprocal : see reciprocal lattice

translation operator : 7.10.5

unit cell : 10.2

zinc blende (FCC) : 6.22.5

law of Dulong and Petit : 11.15

law of mass action

semiconductors : 6.23

L-capture

definition : 14.4

Lebesgue integration : A.26

LED : 6.27.7

length of a vector : 2.3

Lennard-Jones potential : 10.1

Casimir-Polder : 10.1

lifetime : 7.5.3 | 14.6.1

light wave

plane

terminology : 7.7.1

light waves

classical : 13.2

light-cone

special relativity : 1.2.3

light-emitting diode : 6.27.7

light-emitting diodes

crystal momentum : 6.27.7

$\lim$ : Notations

linear combination : Notations

linear dependence : Notations

linear independence : Notations

linear momentum

classical : 3.2

eigenfunctions : 7.9.2

eigenvalues : 7.9.2

operator : 3.3

symmetry and conservation : 7.3

linear polarization

from Maxwell's equations : 13.2

from second quantization : A.23.4

intro : 7.4.3

photon wave function : A.21.6

liquid drop model

nuclear binding energy : 14.10.2

nuclear radius : 14.10.1

nuclei

intro : 14.10

locality

quantum field theories : A.22.3

localization

absence of : 7.10.2

London forces : 10.1

Casimir-Polder : 10.1

Lorentz factor : 1.1.4

Lorentz force

derivation : D.6

special relativity : 1.3.2

Lorentz invariant

field theories : A.22.4

Lorentz transform

improper : A.4

nonorthochronous : A.4

Lorentz transformation : 1.2

derivation : D.4

group property : 1.2.6

group property derivation : D.5

index notation : 1.2.5

parity transformation : A.4

time-reversal : A.4

Lorentz-Fitzgerald contraction : 1.1.4

Lorentz[ian] profile : 7.6.1

Lorenz condition : A.21.2

classical electromagnetics : A.36

not Lorentz : A.22.5

unconventional derivation : A.22.5

Lorenz gauge : A.21.2

classical electromagnetics : A.36

lowering indices : A.4

luminosity

particle beam : A.30

Lyman transitions : 4.3.3

$M$ : Notations

${\cal M}$ : Notations

M : Notations

$m$ : Notations

$m_{\rm e}$ : Notations

$m_{\rm n}$ : Notations

$m_{\rm p}$ : Notations

Madelung constant : 10.2

magic numbers

intro : 14.5

shell model : 14.12

magnetic dipole

idealized : 13.3.2

magnetic dipole moment

classical : 13.4

magnetic dipole transition

intro : 7.4.3

selection rules : 7.4.4

relativistic : 7.4.4

magnetic dipole transitions

Hamiltonian : D.39

magnetic moment

nuclei : 14.17

magnetic multipole

photon states : A.21.7

magnetic quantum number : 4.2.2

magnetic spin anomaly : 13.4

magnetic vector potential

classical derivation : D.73.7

in the Dirac equation : D.75

quantum derivation : 13.1

relativistic derivation : 1.3.2

magnitude : 2.1

main group

periodic table : 5.9.7

majority carriers : 6.23

maser

ammonia : 5.3

operating principle : 7.7

mass number : 14.4

mass-energy relation

derivation : 1.3.1

Dirac equation : 12.12

fine-structure : A.38.2

for nuclei : 14.7

Lagrangian derivation : 1.3.2

need for quantum field theory : A.15

matching regions : A.29

mathematicians : 1.2.5 | D.54

matrix : 2.4 | Notations

matrix element : 7.5.3

maximum principle

Laplace equation : D.73.2

Maxwell relations : 11.12

Maxwell's equations : 13.2

“derivation” from scratch : A.22

Maxwell-Boltzmann distribution

canonical probability : 11.5

for given energy : 11.4

intro : 6.14

mean lifetime : 14.6.2

mean value property

Laplace equation : D.73.2

measurable values : 3.4.1

measurement : 3.4.1

Meisner

credit : N.35

mesic charge : A.41.3

meson : 5.4

mesons : 7.5.2

metalloids : 5.9.7

compared to semimetals : 6.21.4

metals : 10.3

examples : 6.21.2

method of stationary phase : D.44

metric prefixes : Notations

Minkowski metric : A.4

minority carriers : 6.23

mirror nuclei : 14.10.1 | 14.18.2

beta decay : A.44.4

mass difference data : 14.19.1

mirror operator : A.9

molar mass

versus molecular mass etc. : Notations

mole : 11.7

molecular mass : 11.7

versus molar mass etc. : Notations

molecular solids : 10.1

molecules

ionic : 10.2

moment

electromagnetic

nuclei : 14.17

momentum conservation

beta decay : A.44.6

momentum space wave function : 7.9.2

integral transform

one-dimensional : A.26

three-dimensional : A.26

Moszkowski estimate : A.25.8

Moszkowski unit : A.25.8

derivation : A.25.8

Mott insulators : 6.21.2

moving mass : 1.1.2

derivation : 1.3.1

Lagrangian derivation : 1.3.2

mu : see $\mu$

multipole expansion : 13.3.3

multipole transition

intro : 7.4.3

$N$ : Notations

N : Notations

$n$ : Notations

n : Notations

nabla : Notations

nanoionics : 6.21.6

natural : Notations

natural width : 7.4.1

nearly-free electron model : 10.6

negaton : 14.4

negatron : 14.4

neon-19

nuclear spin : 14.12.6

Neumann functions

spherical : A.6.2

neutrino

needed in beta decay : 14.19.3

neutrinos

do not conserve parity : A.43

helicity : A.43

no intrinsic parity : A.43

relativistic theory : A.43

states like screws : A.43

neutron

intro : 14.2.2

mixed beta decay : 14.19.4.1

neutron emission

definition : 14.4

neutron excess : 14.4

neutron stars : 6.11 | 14.4

Newton's second law

in quantum mechanics : 7.2.1

Newtonian analogy : 3.3

Newtonian mechanics : 3.1

in quantum mechanics : 7.2.1

nitrogen-11

nuclear spin : 14.12.6

NMR

spin one-half : 14.17.2.2

noble gas : 5.9.3

noble gases : 5.9.7

noncanonical Hartree-Fock equations : D.54

nonequilibrium thermodynamics : A.11.4

nonexisting versus hidden : 4.2.4

nonholonomic : A.16

Nordheim rules : 14.15.3

norm of a function : 2.3

normal operators

are abnormal : Notations

normalized : 2.3

normalized wave functions : 3.1

n-p-n transistor : 6.25

n-type semiconductor : 6.23

nu : see $\nu$

nuclear decay

overview of data : 14.4

nuclear force : 14.1

nuclear forces

pion exchange mechanism : A.41

nuclear magnetic resonance : 13.6

nuclear magneton : 13.4 | 14.17.2.1

nuclear parity

intro : 14.1

nuclear radius : 14.10.1

nuclear reactions

antiparticles : 14.19.1

nuclear spin

intro : 14.1

nuclei

beta vibration : 14.13.4.4

do not contain electrons : A.44.1

gamma vibration : 14.13.4.4

internal conversion : 14.20.7

intro : 14.4

liquid drop model

intro : 14.10

pairing energy

evidence : 14.9

parity

data : 14.16

intro : 14.12.1

perturbed shell model : 14.12.4

rotational bands : 14.13.4

spin one-half : 14.13.4.3

spin zero : 14.13.4.4

shell model : 14.12

nonspherical nuclei : 14.13.4.2

Rainwater-type justification : 14.12.1

shells

evidence : 14.9

spin

Nordheim rules : 14.15.3

stable odd-odd ones : 14.19.2

unperturbed shell model : 14.12.4

vibrating drop model

derivations : A.42

stability : 14.13.1

vibrational states : 14.13.2

nucleon number : 14.4

nucleons : 14.1

O : Notations

OBEP : A.41.4

oblate spheroid : 14.17.1.2

observable values : 3.4.1

occupation numbers

beta decay : A.44.1

intro : 6.4

single-state : A.15.1

octupole transition : 14.20.2

octupole vibration

nuclei : 14.13.2

odd-odd nuclei : 14.4

odd-particle shell model : 14.12.4

Omega : see $\Omega$

omega : see $\omega$

one-boson exchange potential : A.41.4

one-dimensional free space

Hamiltonian : 7.10.1

one-particle shell model : 14.12.4

one-pion exchange potential : A.41.2

Onsager reciprocal relations : A.11.6

OPEP : A.41.2

intro : 14.3

OPEP potential

introduction : A.41.2

loose derivation : A.41.3

operator

exponential of an operator : A.12

operators : 2.4

angular momentum component : 4.2.2

Hamiltonian : 3.3

kinetic energy : 3.3

in spherical coordinates : 4.3.1

linear momentum : 3.3

position : 3.3

positive (semi)definite : D.33

potential@ energy : 3.3

quantum mechanics : 3.3

square angular momentum : 4.2.3

total energy : 3.3

opposite : Notations

orbital angular momentum

relativistic coupling with spin : A.43

orbitals : 9.3.1

orthodox interpretation : 3.4

orthogonal : 2.3

orthonormal : 2.3

orthonormal matrix

in coordinate rotations : A.3

$P$ : Notations

${\cal P}$ : Notations

${\mathscr P}$ : Notations

P : Notations

$p$ : Notations

p : Notations

parity

alpha decay : 14.11.3

combination

intro : 7.4.2

conservation in decays : 7.4.2

intro : 7.3

nuclei

data : 14.16

intro : 14.12.1

orbital

derivation : D.77

spherical harmonics

derivation : D.14.2

symmetry and conservation : 7.3

violation of conservation : 7.3

parity operator

spatial inversion : 7.3

parity transformation : 7.3

as a Lorentz transformation : A.4

parity violation

Wu experiment : 14.19.6

Parseval identity

Fourier series

one-dimensional : A.26

three-dimensional : A.26

Fourier transform

one-dimensional : A.26

three-dimensional : A.26

partial wave amplitude : A.30.2

partial wave analysis : A.30.1

phase shifts : A.30.2

particle

tensor : A.44.4

particle exchange

symmetry : A.9

partition function : 11.5

Paschen transitions : 4.3.3

passive view : A.19.1

Pasternack relation : D.84

Pauli exclusion principle : 5.7

atoms : 5.9.4

common phrasing : 5.9.4

Pauli repulsion : 5.10

Pauli spin matrices : 12.10

generalized : 12.11

p block

periodic table : 5.9.7

Peltier coefficient : 6.28.1

Peltier effect : 6.28.1

periodic box : 6.17

a tricky version : A.22.8

beta decay : A.44.2

periodic table : 5.9.4

full : 5.9.7

periodic zone scheme : 10.5.2

intro : 6.22.4

permanents : 5.7

permittivity of space : 4.3.1

perpendicular bisector : Notations

perturbation theory

helium ionization energy : A.37.2

second order : A.37.1

time dependent : 7.6

time-independent : A.37

weak lattice potential : 10.6.1

perturbed shell model : 14.12.4

phase angle : Notations

phase equilibrium : 11.12

phase shift

partial waves : A.30.2

phase speed : 7.10.2

phenomenological nuclear potentials : 14.3

Phi : see $\Phi$

phi : see $\phi$, $\varphi$

phonons : 11.15

nuclei : 14.13.2

photoconductivity

intro : 6.27.5

photon : 4.3.3 | Notations

energy : 4.3.3

spin value : 5.4

wave function : A.21.1

photons

density of modes : 6.3

photovoltaic cell : 6.27.6

physicists : 1.2.2 | 1.2.4 | 1.2.4 | 1.2.5 | 1.2.5 | 3.4.1 | 3.4.2 | 4.2.2 | 4.2.3 | 4.3.4 | 5.9.7 | 5.9.7 | 6.9 | 6.11 | 6.13 | 6.16 | 6.22.1 | 6.22.4 | 6.22.5 | 6.23 | 6.28.2 | 7.1.5 | 7.2.2 | 7.3 | 7.3 | 7.4.2 | 7.4.3 | 7.4.3 | 7.4.4 | 7.5.2 | 7.5.2 | 7.5.3 | 7.6.1 | 7.7.2 | 7.8 | 9.2.3 | 9.3.5.4 | 10.3.5 | 10.3.10 | 10.7.1 | 13.2 | 13.3 | 13.4 | 13.4 | 14.1 | 14.1 | 14.1 | 14.1 | 14.2.4 | 14.4 | 14.4 | 14.4 | 14.4 | 14.4 | 14.4 | 14.4 | 14.4 | 14.4 | 14.4 | 14.6.2 | 14.7 | 14.11.1 | 14.11.2 | 14.12.1 | 14.12.4 | 14.17.1.2 | 14.18.2 | 14.19.6 | 14.20 | 14.20.3 | 14.20.5 | 14.20.7 | 14.20.7 | A.4 | A.4 | A.11.4 | A.19.2 | A.19.5 | A.22.4 | A.22.4 | A.22.4 | A.22.4 | A.22.6 | A.23 | A.25.8 | A.25.9 | A.30 | A.30 | A.30 | A.30.1 | A.30.2 | A.40.4 | A.44.1 | A.44.4 | A.44.4 | N.13 | N.14 | N.18 | N.18 | N.35 | Notations | Notations

hypothetical shortcomings : 1.2.3 | A.22.1

more or less redeemed : 7.5.2 | 7.5.3 | 14.20.1 | D.14.1 | D.16.1

more or less trusted : A.41.3

redeemed : 6.21.1 | 6.22.4 | A.38.1 | A.44.5

unverified shortcomings : A.30.2

pi : see $\pi$

pi bonds : 5.11.2

pion exchange

multiple : A.41.4

pions

intro : 14.3

Plancherel theorem : A.26

Planck's blackbody spectrum : 6.8

Planck's constant : 3.3

Planck-Einstein relation : 4.3.3

derivation : A.14

p-n junction : 6.24

p-n-p transistor : 6.25

point charge

static : 13.3.1

pointer states : 4.3.4

Poisson bracket : A.12

Poisson equation : 13.3.4

fundamental solution : A.22.1

Green's function solution

derivation : D.2

screened

Green's function solution : D.2.2

variational derivation : A.22.1

polar bonds : 5.11.3

polar coordinates : Notations

polar vector : A.20

polariton

Bose-Einstein condensation : 6.6

polarization : see linear polarization, circular polarization

poly-crystalline : 10.3.1

population inversion : 7.7

position

eigenfunctions : 7.9.1

eigenvalues : 7.9.1

operator : 3.3

positive (semi)definite operators : D.33

positon : 14.4

positron emission : 14.4

possible values : 3.4.1

potassium-40

decay modes : 14.19.2

potential : Notations

existence : D.73.1

potential energy

operator : 3.3

potential energy surfaces : 9.2.3

Poynting vector : 13.2

prefixes

YZEPTGMkmunpfazy : Notations

pressure : 11.7

primitive cell : 10.3.10

in band theory : 6.21.2

versus unit cell : 6.22.5

primitive translation vector

one-dimensional : 10.3.5

primitive translation vectors

FCC

intro : 6.22.5

lithium (BCC) : 10.3.10

reciprocal lattice : 10.3.10

primitive vectors : see primitive translation vectors

principal quantum number : 4.3.2

principle of relativity : 1.1.3

probabilities

evaluating : 4.1.6

from coefficients : 3.4.2

probability current : A.32

probability density : 5.2.3

probability to find the particle : 3.1

projection operator : 2.7.1

prolate spheroid : 14.17.1.2

promotion : 5.11.4

nuclei : 14.12.6

prompt neutrons : 14.14.1

proper distance : 1.2.2

as dot product : 1.2.4

proper time : 1.2.2

causality : 1.2.3

proton

intro : 14.2.1

proton emission

definition : 14.4

pseudoscalar particle : A.41.4

pseudovector : A.20

pseudovector particle : A.41.4

Psi : see $\Psi$

psi : see $\psi$

p-type semiconductor : 6.23

pure substance : 11.

$p_x$ : Notations

Pythagorean theorem : 1.2.2

$Q$ : Notations

$q$ : Notations

quadrupole moment

electric

intro : 14.2.3

nuclei : 14.17

intrinsic

nuclei : 14.17.2.4

spin one-half : 14.17.2.2

quadrupole transition : 14.20.2

intro : 7.4.3

quadrupole transitions

electric

Hamiltonian : D.39

selection rules : 7.4.4

quadrupole vibration

nuclei : 14.13.2

quality factor : 14.6.2

quantum chromodynamics : 14.1

intro : 7.5.2

quantum confinement : 6.12

single particle : 3.5.9

quantum dot : 3.5.9

density of states : 6.12

quantum electrodynamics

electron g factor : 13.4

Feynman's book : A.15

intro : 7.5.2

quantum field

definition : A.15.9

quantum field theory : A.15

Coulomb potential derivation : A.22.8

Koulomb potential derivation : A.22

quantum interference : 3.1

quantum mechanics

acceleration : 7.2.1

force : 7.2.1

Newton's second law : 7.2.1

Newtonian mechanics : 7.2.1

velocity : 7.2.1

quantum well : 3.5.9

density of states : 6.12

quantum wire : 3.5.9

density of states : 6.12

quark

spin : 5.4

quarks : 7.5.2 | 14.1

Dirac equation : 12.12

proton and neutron : 13.4

$Q$-value

alpha and beta decay : 14.19.3

nuclei : 14.11.2

$R$ : Notations

${\cal R}$ : Notations

$\Re$ : Notations

$r$ : Notations

${\skew0\vec r}$ : Notations

Rabi flopping frequency : 13.6.4

rad : 14.6.2

radiation

emission and absorption : 7.7

quantization : A.23

radiation probability : see decay rate

radiation weighting factor : 14.6.2

radioactivity

intro : 14.4

radium emanation : 14.4

radium X : 14.4

raising indices : A.4

Ramsauer effect : 7.3

random number generator : 3.4.2

rare earths : 5.9.7

RaX : 14.4

Rayleigh formula

partial waves : A.6.3

spherical Bessel functions : A.6.2

RE : 14.4

real part : 2.1

reciprocal : Notations

reciprocal lattice

lithium : 10.3.10

NaCl : 10.3.10

one-dimensional : 10.3.7

primitive vectors : 10.3.10

three-dimensional : 10.3.10

recombination

semiconductors : 6.23

recombination centers : 6.24

reduced mass

hydrogen atom electron : 4.3.1

reduced zone scheme : 10.5.2

intro : 6.22.4

reflection coefficient : 7.13 | 7.13 | A.32

relative state formulation : 8.6

relative state interpretation : 8.5

relativistic corrections

hydrogen atom : A.38

Relativistic effects

Dirac equation : 12.12

relativistic mass : see moving mass

relativistic quantum mechanics

beta decay : A.44.1

relativity : see special relativity | Notations

rem : 14.6.2

residual strong force : 14.1

resistivity

electrical : 6.20 | 6.20

resonance factor : 13.6.4

rest mass : 1.1.2

rest mass energy : 1.1.2

derivation : 1.3.1

restricted Hartree-Fock : 9.3.1

reversibility : 11.9

RHF : 9.3.1

rho : see $\rho$

roentgen : 14.6.2

röntgen : 14.6.2

rot : Notations | Notations

rotational band

nuclei : 14.13.4.2

rotational bands

seenuclei : 14.13.4

$S$ : Notations

${\cal S}$ : Notations

${\mathscr S}$ : Notations

S : Notations

$s$ : Notations

s : Notations

saturated : 11.12

s block

periodic table : 5.9.7

scalar : Notations

scalar particle : A.41.4

scattering : 7.12

one-dimensional coefficients : 7.13

three-dimensional : A.30

scattering amplitude : A.30

Schmidt lines : 14.17.2.3

Schottky defect : 6.21.6

Schottky effect : 6.15

Schrödinger equation : 7.1

failure? : 8.5

integral version : A.13

Schrödinger’s cat : 8.1

second law of thermodynamics : 11.8

second quantization : A.15.6 | A.23

Seebeck coefficient : 6.28.2

Seebeck effect : 6.28.2

seething cauldron : A.23.4

selection rules

derivation : D.39

electric dipole transitions : 7.4.4

relativistic : 7.4.4

electric quadrupole transitions : 7.4.4

intro : 7.4.4

magnetic dipole transitions : 7.4.4

relativistic : 7.4.4

self-adjoint : Notations

self-conjugate nuclei : 14.18.2

self-consistent field method : 9.3.4

semi-conductors

band gap : 10.4

semi-empirical mass formula : 14.10.2

semiconductor

degenerate : 6.23

direct gap : 6.22.4

intrinsic : 6.23

intro : 6.21.3

n and p-type : 6.23

semiconductor laser : 6.27.7 | 6.27.7

semiconductors

compensation : 6.23

conduction electrons per state : 6.23

conduction electrons per volume : 6.23

crystal structure : 6.22.5

doping : 6.23

holes

intro : 6.21.3

holes per state : 6.23

holes per unit volume : 6.23

semimetal

intro : 6.21.4

separation of variables : 4.1.2

for atoms : 5.9.2

linear momentum : 7.9.2

position : 7.9.1

shell model

with pairing : 14.12.4

with perturbations : 14.12.4

shell model of nuclei : 14.12

shielding approximation : 5.9.2

Shockley diode equation : 6.24

SI prefixes : Notations

sievert : 14.6.2

sigma : see $\sigma$

sigma bonds : 5.11.1

silicon

crystal structure : 6.22.5

simple cubic lattice : 10.5.1

sin : Notations

singlet color state : 7.5.2

singlet state : 5.5.6

derivation : 12.6

skew-Hermitian : Notations

Slater determinants : 5.7

small perturbation theory : 10.6.1

solar cell : 6.27.6

solar spectrum : 6.27.1

solenoidal : Notations

vector potential : A.22.8

solid angle : A.30 | Notations

infinitesimal

spherical coordinates : Notations

solid electrolytes : 6.21.6

solids : 10.

covalent : 10.4

ionic : 10.2

molecular : 10.1

spectra

intro : 6.27.2

sp$\POW9,{n}$ hybridization : 5.11.4

space charge region : 6.24

space-like

special relativity : 1.2.2

space-time

special relativity : 1.2.4

space-time interval

ambiguous definition : 1.2.2

causality : 1.2.3

spatial inversion

parity operator : 7.3

special relativity : 1.

canonical momentum : 1.3.2

causality : 1.2.3

four-vectors : 1.2.4

dot product : 1.2.4

in terms of momentum : 1.1.2

index notation : 1.2.5

light-cone : 1.2.3

Lorentz force : 1.3.2

Lorentz transformation : 1.2

Lorentz-Fitzgerald contraction : 1.1.4

mass-energy relation : 1.1.2

mechanics

intro : 1.3.1

Lagrangian : 1.3.2

momentum four-vector : 1.3.1

proper distance : 1.2.2

as dot product : 1.2.4

proper time : 1.2.2

rest mass energy : 1.1.2

space-like : 1.2.2

space-time : 1.2.4

space-time interval : 1.2.2

superluminal interaction : 1.2.3

time-dilation : 1.1.4

time-like : 1.2.2

velocity transformation : 1.2.1

specific activity : 14.6.2

specific decay rate : 14.6.1

specific heat

constant pressure : 11.7

constant volume : 11.7

values : 11.15

specific volume : 11.7

molar : 11.7

spectral analysis

intro : 6.27.1

spectral line broadening : 7.4.1

spectrum : Notations

hydrogen : 4.3.3

spherical Bessel functions : A.6.2

spherical coordinates : 4.2.2 | Notations

unit vectors : Notations

volume integral : Notations

spherical Hankel functions : A.6.2

spherical harmonics

derivation : D.65

derivation from the ODE : D.14.1

derivation using ladders : D.65

generic expression : D.14.1

intro : 4.2.3

Laplace equation derivation : D.14.5

parity : D.14.2

spherical Neumann functions : A.6.2

spheroid : 14.17.1.2

spin : 5.4

fundamental commutation relations

introduction : 5.5.3

nuclei

data : 14.15

value : 5.4

$x$- and $y$-eigenstates : 12.10

spin down : 5.4

spin orbitals : 9.3.1

spin states

ambiguity in sign : D.69

axis rotation : D.69

spin up : 5.4

spin-orbit interaction

nucleons : 14.12.2

spinor : 5.5.1

spontaneous emission

multiple initial or final states : 7.6.1

quantum derivation : A.24

spontaneous fission : 14.14

s state : 4.3.4 | 4.3.4

standard deviation : 4.4

definition : 4.4.1

simplified expression : 4.4.3

standard model : 7.3

Stark effect : A.37.5

stationary states : 7.1.4

statistical interpretation : 3.4

Stefan-Boltzmann formula : 11.14.5

Stefan-Boltzmann law : 6.8

steradians : A.30

Stern-Gerlach apparatus : 13.5

stoichiometric coefficient : 11.12

Stokes' theorem : Notations

string theory : A.15.9

strong force : 14.1

intro : 7.5.2

superallowed beta decays : A.44.4

superallowed decay

beta decay : 14.19.5

superconductivity : 6.21

Cooper pairs : 6.6

superfluidity

Feynman argument : 6.6.1

superionic conductors : 6.21.6

superluminal interaction

Bell's theorem : 8.2

hidden variables : 8.2

many worlds interpretation : 8.6

quantum : 3.1

do not allow communication : 8.2

produce paradoxes : 8.2

relativistic paradoxes : 1.2.3

surface tension : 14.13.1

symmetrization requirement

fermions : see antisymmetrization requirement

graphical depiction : 11.2

identical bosons : 5.6

indistinguishable particles : 11.2

using groupings : 5.7

using occupation numbers : A.15.1

using permanents : 5.7

symmetry : Notations

$T$ : Notations

${\cal T}$ : Notations

$t$ : Notations

tantalum-180m : 14.20.2

tau : see $\tau$

temperature : 11.1 | Notations

definition : 11.4

Carnot : 11.9

definition using entropy : 11.12

intro : 6.5

tensor particle : A.44.4

tensor potential

deuteron : A.40.4

tensors

compared to linear algebra : A.4

intro : 1.2.5

thermal de Broglie wavelength : 11.14

thermal efficiency : 11.9

thermal equilibrium : 11.

thermionic emission : 6.15

thermocouple : 6.28.2

thermodynamics

first law : 11.7

second law : 11.8

third law : 11.10

thermoelectric generator : 6.28.2

thermoelectrics

figure of merit : A.11.2

macroscopic equations : A.11.4

thermogenerator : 6.28.2

Theta : see $\Theta$

theta : see $\theta$,$\vartheta$

third law of thermodynamics : 11.10

Thomson coefficient : 6.28.3

Thomson effect : 6.28.3

Thomson relationships

thermoelectrics : A.11.6

intro : 6.28.3

throw the dice : 3.4.2

TID : 14.6.2

time

directionality : 8.7

time symmetry

reservations : A.19.6

time variation

Hamiltonian : 7.1.1

time-dependent perturbation theory : 7.6

time-dilation : 1.1.4

time-like

special relativity : 1.2.2

time-reversal

as a Lorentz transformation : A.4

tin

white and grey : 6.21.2

tissue weighting factor : 14.6.2

$T$-multiplets : 14.18.1

total cross-section : A.30

total energy

operator : 3.3

total ionizing dose : 14.6.2

transistor : 6.25

transition

multipole

selection rules : 14.20.2

multipole names : 14.20.2

quadrupole : see quadrupole transition

transition elements : 5.9.7

transition metals : 5.9.7

transition probability : see decay rate

transition rate

spontaneous : see decay rate

transitions

hydrogen atom : 4.3.3

translation operator

crystals : 7.10.5

transmission coefficient : 7.13 | 7.13 | A.32

transparent crystals : 6.27.3

transpose of a matrix : Notations

transverse gauge

classical electromagnetics : A.36 | A.36

traveling waves : see linear polarization

triakontadipole transition : 14.20.2

triangle inequality : 7.4.2

triple alpha process : 14.8

triple product : Notations

triplet states : 5.5.6

derivation : 12.6

tritium : 14.4

triton : 14.4

tunneling : 7.12.2

field emission : 6.15

Stark effect : A.37.5

WKB approximation : 7.13

Zener diodes : 6.26

turning point : 7.11.3

turning points

WKB approximation : A.28

twilight terms : 5.3

exchange terms : 5.3

Hartree-Fock : 9.3.3

Lennard-Jones/London force : A.33

lithium hydride : 5.3

spontaneous emission : A.24

two state systems

ground state energy : 5.3

time variation : 7.5.2

two-state systems

atom-photon model : A.24

$U$ : Notations

${\cal U}$ : Notations

$u$ : Notations

u : Notations

UHF : 9.3.1

uncertainty principle

angular momentum : 4.2.4

energy : 4.1.4 | 7.1.4

Heisenberg : 3.2

position and linear momentum : 3.2

uncertainty relationship

generalized : 4.5.2

Heisenberg : 4.5.3

unified atomic mass unit : 14.7

unit cell

FCC : 10.2

intro : 10.2

lithium (BCC) : 10.3.1

versus primitive cell : 6.22.5

zinc blende : 6.22.5

unit matrix : Notations

unit vectors

in spherical coordinates : Notations

unitary

Fourier series : A.26

matrix : D.54

time advance operator : A.12

unitary matrix

in coordinate rotations : A.3

unitary operator : A.19.2

unitary operators : Notations

universal gas constant : 11.12 | 11.15

universal mass unit : 14.7

unperturbed shell model : 14.12.4

unrestricted Hartree-Fock : 9.3.1

$V$ : Notations

${\cal V}$ : Notations

$v$ : Notations

$\vec{v}$ : Notations

vacancies

ionic conductivity : 6.21.6

optical effects : 6.27.4

vacuum energy : 8.7 | A.15.1 | A.23.4

seething cauldron : A.23.4

vacuum state : A.15.1

valence band

intro : 6.21.1

values

observable : 3.4.1

Van der Waals forces : 10.1

Casimir-Polder : 10.1

variational calculus

worked out example : A.2

variational method : 4.6.6

helium ionization energy : A.37.2

hydrogen molecular ion : 4.6.6

hydrogen molecule : 5.2.5

variational principle : 9.1

basic statement : 9.1.1

differential form : 9.1.2

Lagrangian multipliers : 9.1.3

vector : 2.2 | Notations

vector bosons : A.20

vector particle : A.41.4

vectorial product : Notations

velocity

in quantum mechanics : 7.2.1

vibrational states

seenuclei : 14.13.2

vibronic coupling terms : D.51

virial theorem : 7.2

virtual work : A.1.3

viscosity : 11.9

Volta potential : 6.16

volume integral

in spherical coordinates : Notations

von Weizsäcker formula : 14.10.2

W : Notations

$w$ : Notations

$\vec{w}$ : Notations

warp factor : 1.2.3

wave function : 3.1

multiple particles : 5.1

multiple particles with spin : 5.5.4

with spin : 5.5.1

wave number : 2.5 | 3.5.5 | 7.10.4

Floquet : 10.3.5

Fourier versus Floquet : 10.3.7

one-dimensional Fourier series : A.26

one-dimensional Fourier transform : A.26

wave number vector

and linear momentum : 6.18

Bloch function : 10.3.10

Fourier series : A.26 | A.26

Fourier transform : A.26

wave numbers : 6.2

wave packet

accelerated motion : 7.11.2

definition : 7.10.3

free space : 7.10 | 7.11.1

harmonic oscillator : 7.11.4

partial reflection : 7.12.1

physical interpretation : 7.10.3

reflection : 7.11.3

wave vector

conservation : 6.22.4

weak force

intro : 7.5.2

Weisskopf estimates : A.25.8

comparison with data : 14.20.5

figures : 14.20.4

Weisskopf unit

derivation : A.25.8

Weisskopf units : A.25.8

well

deuteron : A.40.1

Weyl neutrinos : A.43

width

particle decay : 14.1

width of a state : 7.4.1

Wigner 3j,6j and 9j coefficients : N.13

Wigner-Eckart theorem : N.13

Wigner-Seitz cell : 10.3.10

WKB approximation

connection formulae : A.29

WKB connection formulae : A.29

WKB theory : A.28

Woods-Saxon potential : 14.12.1

work function : 6.15

Wronskian : A.32

W.u. : A.25.8

$X$ : Notations

$x$ : Notations

xi : see $\xi$

X-ray diffraction : 10.7.2

$Y$ : Notations

$Y_l^m$ : Notations

$y$ : Notations

yrast line : 14.13.4.4

YSZ : 6.21.6

yttria-stabilized zirconia : 6.21.6

Yukawa potential : A.41.1

loose derivation : A.41.1

$Z$ : Notations

$z$ : Notations

Zeeman effect : A.37.4

intermediate : A.38.3

weak : A.38.3

Zener diode : 6.26

zero matrix : Notations

zero point energy : 9.2.3

zeroth law of thermodynamics : 11.1

zinc blende

crystal structure : 6.22.5

ZnS : see zinc blende